dorsal/arxiv
View SchemaQuantum Fidelity Decay of Quasi-Integrable Systems
| Authors | Yaakov S. Weinstein, C. Stephen Hellberg |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0411162 |
| URL | https://arxiv.org/abs/quant-ph/0411162 |
| DOI | 10.1103/PhysRevE.71.016209 |
| Journal | Phys. Rev. E 71, 016209 (2005) |
Abstract
We show, via numerical simulations, that the fidelity decay behavior of quasi-integrable systems is strongly dependent on the location of the initial coherent state with respect to the underlying classical phase space. In parallel to classical fidelity, the quantum fidelity generally exhibits Gaussian decay when the perturbation affects the frequency of periodic phase space orbits and power-law decay when the perturbation changes the shape of the orbits. For both behaviors the decay rate also depends on initial state location. The spectrum of the initial states in the eigenbasis of the system reflects the different fidelity decay behaviors. In addition, states with initial Gaussian decay exhibit a stage of exponential decay for strong perturbations. This elicits a surprising phenomenon: a strong perturbation can induce a higher fidelity than a weak perturbation of the same type.
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"abstract": "We show, via numerical simulations, that the fidelity decay behavior of\nquasi-integrable systems is strongly dependent on the location of the initial\ncoherent state with respect to the underlying classical phase space. In\nparallel to classical fidelity, the quantum fidelity generally exhibits\nGaussian decay when the perturbation affects the frequency of periodic phase\nspace orbits and power-law decay when the perturbation changes the shape of the\norbits. For both behaviors the decay rate also depends on initial state\nlocation. The spectrum of the initial states in the eigenbasis of the system\nreflects the different fidelity decay behaviors. In addition, states with\ninitial Gaussian decay exhibit a stage of exponential decay for strong\nperturbations. This elicits a surprising phenomenon: a strong perturbation can\ninduce a higher fidelity than a weak perturbation of the same type.",
"arxiv_id": "quant-ph/0411162",
"authors": [
"Yaakov S. Weinstein",
"C. Stephen Hellberg"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevE.71.016209",
"journal_ref": "Phys. Rev. E 71, 016209 (2005)",
"title": "Quantum Fidelity Decay of Quasi-Integrable Systems",
"url": "https://arxiv.org/abs/quant-ph/0411162"
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